x^2+16x+113=0

Solution for x^2+16x+113=0 equation:

Simplifying
x2 + 16x + 113 = 0

Reorder the terms:
113 + 16x + x2 = 0

Solving
113 + 16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-113' to each side of the equation.
113 + 16x + -113 + x2 = 0 + -113

Reorder the terms:
113 + -113 + 16x + x2 = 0 + -113

Combine like terms: 113 + -113 = 0
0 + 16x + x2 = 0 + -113
16x + x2 = 0 + -113

Combine like terms: 0 + -113 = -113
16x + x2 = -113

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -113 + 64

Reorder the terms:
64 + 16x + x2 = -113 + 64

Combine like terms: -113 + 64 = -49
64 + 16x + x2 = -49

Factor a perfect square on the left side:
(x + 8)(x + 8) = -49

Can't calculate square root of the right side.

The solution to this equation could not be determined.